Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter

Volume: 63 Number: 1 February 1, 2014
  • Cafer Coskun
  • Deniz Katar
  • Murat Olgun
EN

Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter

Abstract

-

Keywords

References

  1. M. A. Naimark, Investigation of the spectrum and the expansion in eigenfunctions of a non- selfadjoint operators of second order on a semi-axis, AMS Translations 2(16) 1960, 103-193. [2] V. E. Lyance, A diğerential operator with spectral singularities, I, II, AMS Translations 2 (60)1967, 185-225, 227-283.
  2. E. Bairamov, O. Cakar and A. O. Çelebi, Quadratic pencil of Schröndinger operators with spectral singularities: Discrete spectrum and principal functions, J. Math. Anal. Appl. 216 (1997), 303-320.
  3. E. Bairamov, O. Cakar and A. M. Krall, Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition, J. Diğerential Equations 151 (1999), no. 2, 252–267.
  4. E. Bairamov, O. Cakar and A. M. Krall, An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities, J. Diğerential Equations 151 (1999), 268-289.
  5. E. Bairamov and A. O. Celebi, Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Quart. J. Math. Oxford Ser. (2) 50 (1999), no. 200, 371–384.
  6. E. Bairamov and A. O. Çelebi, Spectral properties of the Klein-Gordon s-wave equation with complex potential, Indian J. Pure Appl. Math. 28 (1997), 813-824.
  7. E. Bairamov and G. B. Tunca, Discrete spectrum and principal functions of non-selfadjoint diğerential operators, Czechoslovak Math. J. 49 (1999), 689-700.
  8. A. M. Krall, E. Bairamov and O. Cakar, Spectral analysis of a non-selfadjoint discrete Schrödinger operators with spectral singularities, Math. Nachr. 231 (2001), 89-104.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Cafer Coskun This is me

Deniz Katar This is me

Murat Olgun This is me

Publication Date

February 1, 2014

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2014 Volume: 63 Number: 1

APA
Coskun, C., Katar, D., & Olgun, M. (2014). Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(1), 25-34. https://doi.org/10.1501/Commua1_0000000702
AMA
1.Coskun C, Katar D, Olgun M. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(1):25-34. doi:10.1501/Commua1_0000000702
Chicago
Coskun, Cafer, Deniz Katar, and Murat Olgun. 2014. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 (1): 25-34. https://doi.org/10.1501/Commua1_0000000702.
EndNote
Coskun C, Katar D, Olgun M (February 1, 2014) Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 1 25–34.
IEEE
[1]C. Coskun, D. Katar, and M. Olgun, “Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 63, no. 1, pp. 25–34, Feb. 2014, doi: 10.1501/Commua1_0000000702.
ISNAD
Coskun, Cafer - Katar, Deniz - Olgun, Murat. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/1 (February 1, 2014): 25-34. https://doi.org/10.1501/Commua1_0000000702.
JAMA
1.Coskun C, Katar D, Olgun M. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:25–34.
MLA
Coskun, Cafer, et al. “Principal Functions of Non-Selfadjoint Matrix Sturm .Liouville Operators With Boundary Conditions Dependent on the Spectral Parameter”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 63, no. 1, Feb. 2014, pp. 25-34, doi:10.1501/Commua1_0000000702.
Vancouver
1.Cafer Coskun, Deniz Katar, Murat Olgun. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014 Feb. 1;63(1):25-34. doi:10.1501/Commua1_0000000702

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.